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1005283285104 = 243727971069687
BaseRepresentation
bin11101010000011111000…
…11011001100001110000
310120002210220212010011010
432220033203121201300
5112432310010110404
62045453141350520
7132425566635420
oct16501743314160
93502726763133
101005283285104
1135837a23021a
121429b7408440
1373a4aa22147
1436927daa480
151b23a4c9189
hexea0f8d9870

1005283285104 has 80 divisors (see below), whose sum is σ = 2969043127808. Its totient is φ = 287120837376.

The previous prime is 1005283285087. The next prime is 1005283285133. The reversal of 1005283285104 is 4015823825001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404949 + ... + 1474635.

Almost surely, 21005283285104 is an apocalyptic number.

1005283285104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005283285104 is an abundant number, since it is smaller than the sum of its proper divisors (1963759842704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005283285104 is a wasteful number, since it uses less digits than its factorization.

1005283285104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072502 (or 1072496 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 1005283285104 in words is "one trillion, five billion, two hundred eighty-three million, two hundred eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2797 5594 8391 11188 16782 19579 22376 33564 39158 44752 58737 67128 78316 117474 134256 156632 234948 313264 469896 939792 1069687 2139374 3209061 4278748 6418122 7487809 8557496 12836244 14975618 17114992 22463427 25672488 29951236 44926854 51344976 59902472 89853708 119804944 179707416 359414832 2991914539 5983829078 8975743617 11967658156 17951487234 20943401773 23935316312 35902974468 41886803546 47870632624 62830205319 71805948936 83773607092 125660410638 143611897872 167547214184 251320821276 335094428368 502641642552 1005283285104